Properties of the Number -897

Eight Hundred Ninety-Seven

Basics

Value: -898 → -897 → -896

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 13 × 23

Divisors: 1, 3, 13, 23, 39, 69, 299, 897

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1110000001

Octal: -1601

Duodecimal: -629

Hexadecimal: -381

Square: 804609

Square Root: 29.949958263743873

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

G.f.: ∏_k>=1 1/(1+x^k)^k. A255528

Expansion of ∑_k>=1 x^k/(1 + x^k)³. A320900

Expansion of 1/((1-x)*(1+x+x²+2·x³)). A77909

G.f.: A(x) = ∑_n=-oo..+oo (x - xⁿ)ⁿ. A290003

Sequence is {a(4,n)}, where a(m,n) is defined at sequence A110665. A110669

G.f. ∑_n=-oo..+oo (xⁿ - x)ⁿ⁺¹. A378582

a(1) = 0, a(2) = 0; for n > 2, a(n) - a(n-3) - a(n-5) - ... - a(n-p) = n if n is prime, otherwise = 0, where p = largest prime < n. A2123

A McMullen transform involving x->x+1/x of Lehmer's polynomial gives the polynomial used to get this expansion sequence: p(x)=1 + x + 10 x² + 8 x³ + 44 x⁴ + 28 x⁵ + 113 x⁶ + 57 x⁷ + 191 x⁸ + 79 x⁹ + 227 x¹⁰ + 79 x¹¹ + 191 x¹² + 57 x¹³ + 113 x¹⁴ + 28 x¹⁵ + 44 x¹⁶ + 8 x¹⁷ + 10 x¹⁸ + x¹⁹ + x²⁰. A143465

Expansion of ∏_k>=1 (1 - (x*(1 + x))^k). A309575

Cullen numbers: a(n) = n·2ⁿ + 1. A2064